Solve for x

Question

: 13x−1=19x−25
.(1 point)
Responses

x=4
x equals 4

x=−6
x equals negative 6

x=−9
x equals negative 9

x=3

Answer 1

To solve the equation $13x-1=19x-25$, follow these steps:

1. Start with the original equation: $$13x-1=19x-25$$

2. Subtract $13x$ from both sides to get the terms involving $x$ on one side: $$-1=19x-13x-25$$

3. Simplify the equation: $$-1=6x-25$$

4. Add 25 to both sides: $$-1+25=6x$$ $$24=6x$$

5. Finally, divide both sides by 6: $$x=\frac{24}{6}=4$$

Thus, the solution is: $$x=4$$

The correct response is $x=4$ or "x equals 4".